Longitude =180(X - Xmin)/(Xmax - Xmin)
Latitude = 180(Ymax-Y)/(Ymax - Ymin)
The original fractal pattern itself is part of the Mandelbrot Set for the iteration:
Znew=Csin(Z)
The pattern is generated by starting with Z=0 and calculating Znew, then repeating the process by inserting Znew into the formula as Z to calculate a third Z, and so on. The point is to find for what values of C this process causes Z to perpetually increase in absolute value, and how long it takes to increase beyond a certain maximum which is arbitrarily chosen. If Z and C are complex numbers, then at each point X,Y, where C=X +iY, one can plot a color (a shade of blue in the fractal in question, though the choice is arbitrary) where each shade represents a different number of steps that it took to increase beyond the chosen maximum.To see more fractals, visit my fractal collection, or the Fractint info page.
To learn more about fractals, and more importantly, to play with fractals, get FRACTINT, the premier fractal generator. It's freeware, and can be obtained via the Fractint info page, which also has links to many good pictures produced with Fractint.
I know of no other Christianity and of no other Gospel than the liberty both of body & mind to exercise the Divine Arts of Imagination: Imagination the real and eternal World, of which this Vegetable Universe is but a faint shadow, & in which we shall live in our Eternal or Imaginative Bodies, when these Vegetable Mortal Bodies are no more. The Apostles knew of no other Gospel. What were all their spiritual gifts? What is the Divine Spirit? is the Holy Ghost any other than an Intellectual Fountain? What is the Harvest of the Gospel & its Labours? What is that Talent which it is a curse to hide? What are the Treasures of Heaven which we are to lay up for ourselves, are they any other than Mental Studies & Performances? What are all the Gifts of the Gospel, are they not all Mental Gifts? Is God a Spirit who must be worshipped in Spirit & in Truth and are not the Gifts of the Spirit Every-thing to Man? O ye Religious; discountenance every one among you who shall pretend to despise Art & Science! I call upon you in the Name of Jesus! What is the Life of Man but Art and Science? is it Meat & Drink? is not the Body more than Raimant? What is Mortality but the things relating to the Body, which Dies? What is Immortality but the things relating to the Spirit, which Lives Eternally! What is the Joy of Heaven but Improvement in the things of the Spirit? What are the Pains of Hell but Ignorance, Bodily Lust, Idleness & devastation of the things of the Spirit? Answer this to yourselves, & expel from among you those who pretend to despise the labours of Art & Science, which alone are the labours of the Gospel: Is it not plain & manifest to the thought? Can you think at all & not pronounce heartily! That to Labor in Knowledge, is to Build up Jerusalem: and to Despise Knowledge, is to Despise Jerusalem & her Builders.
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